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Finding the Fourth Proportional to 5,742.66, 7,925.13 and 4,498.50

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Solution

The fourth proportional to 5,742.66, 7,925.13 and 4,498.50 is: 6,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 7,925.13 = 4,498.50 : x
  2. Step 2: Convert to fraction form
    5,742.66/7,925.13 = 4,498.50/x
  3. Step 3: Cross multiply
    5,742.66x = 7,925.13 × 4,498.50
  4. Step 4: Simplify right side
    5,742.66x = 35,651,197.31
  5. Step 5: Solve for x
    x = 35,651,197.31/5,742.66
  6. Step 6: Final answer
    x = 6,208.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.