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Finding the Fourth Proportional to 5,030.85, 7,547.03 and 1,743.06

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Solution

The fourth proportional to 5,030.85, 7,547.03 and 1,743.06 is: 2,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.85 : 7,547.03 = 1,743.06 : x
  2. Step 2: Convert to fraction form
    5,030.85/7,547.03 = 1,743.06/x
  3. Step 3: Cross multiply
    5,030.85x = 7,547.03 × 1,743.06
  4. Step 4: Simplify right side
    5,030.85x = 13,154,930.47
  5. Step 5: Solve for x
    x = 13,154,930.47/5,030.85
  6. Step 6: Final answer
    x = 2,614.85

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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.