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Finding the Fourth Proportional to 4,334.04, 6,501.74 and 1,411.66

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Solution

The fourth proportional to 4,334.04, 6,501.74 and 1,411.66 is: 2,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.04 : 6,501.74 = 1,411.66 : x
  2. Step 2: Convert to fraction form
    4,334.04/6,501.74 = 1,411.66/x
  3. Step 3: Cross multiply
    4,334.04x = 6,501.74 × 1,411.66
  4. Step 4: Simplify right side
    4,334.04x = 9,178,246.29
  5. Step 5: Solve for x
    x = 9,178,246.29/4,334.04
  6. Step 6: Final answer
    x = 2,117.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.