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Finding the Fourth Proportional to 5,506.47, 7,598.93 and 3,148.66

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Solution

The fourth proportional to 5,506.47, 7,598.93 and 3,148.66 is: 4,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.47 : 7,598.93 = 3,148.66 : x
  2. Step 2: Convert to fraction form
    5,506.47/7,598.93 = 3,148.66/x
  3. Step 3: Cross multiply
    5,506.47x = 7,598.93 × 3,148.66
  4. Step 4: Simplify right side
    5,506.47x = 23,926,446.93
  5. Step 5: Solve for x
    x = 23,926,446.93/5,506.47
  6. Step 6: Final answer
    x = 4,345.15

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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.