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Finding the Fourth Proportional to 5,031.68, 7,547.51 and 1,744.77

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Solution

The fourth proportional to 5,031.68, 7,547.51 and 1,744.77 is: 2,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.68 : 7,547.51 = 1,744.77 : x
  2. Step 2: Convert to fraction form
    5,031.68/7,547.51 = 1,744.77/x
  3. Step 3: Cross multiply
    5,031.68x = 7,547.51 × 1,744.77
  4. Step 4: Simplify right side
    5,031.68x = 13,168,669.02
  5. Step 5: Solve for x
    x = 13,168,669.02/5,031.68
  6. Step 6: Final answer
    x = 2,617.15

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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.