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Finding the Fourth Proportional to 4,871.42, 7,303.02 and 1,948.13

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Solution

The fourth proportional to 4,871.42, 7,303.02 and 1,948.13 is: 2,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.42 : 7,303.02 = 1,948.13 : x
  2. Step 2: Convert to fraction form
    4,871.42/7,303.02 = 1,948.13/x
  3. Step 3: Cross multiply
    4,871.42x = 7,303.02 × 1,948.13
  4. Step 4: Simplify right side
    4,871.42x = 14,227,232.35
  5. Step 5: Solve for x
    x = 14,227,232.35/4,871.42
  6. Step 6: Final answer
    x = 2,920.55

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Why These Related Problems?

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