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Finding the Fourth Proportional to 5,032.84, 7,547.34 and 2,399.88

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Solution

The fourth proportional to 5,032.84, 7,547.34 and 2,399.88 is: 3,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.84 : 7,547.34 = 2,399.88 : x
  2. Step 2: Convert to fraction form
    5,032.84/7,547.34 = 2,399.88/x
  3. Step 3: Cross multiply
    5,032.84x = 7,547.34 × 2,399.88
  4. Step 4: Simplify right side
    5,032.84x = 18,112,710.32
  5. Step 5: Solve for x
    x = 18,112,710.32/5,032.84
  6. Step 6: Final answer
    x = 3,598.90

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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.