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Finding the Fourth Proportional to 3,430,154.38, 4,733,580.81 and 1,881,384.34

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Solution

The fourth proportional to 3,430,154.38, 4,733,580.81 and 1,881,384.34 is: 2,596,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,154.38 : 4,733,580.81 = 1,881,384.34 : x
  2. Step 2: Convert to fraction form
    3,430,154.38/4,733,580.81 = 1,881,384.34/x
  3. Step 3: Cross multiply
    3,430,154.38x = 4,733,580.81 × 1,881,384.34
  4. Step 4: Simplify right side
    3,430,154.38x = 8,905,684,808,058.52
  5. Step 5: Solve for x
    x = 8,905,684,808,058.52/3,430,154.38
  6. Step 6: Final answer
    x = 2,596,292.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.