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Finding the Fourth Proportional to 4,681.70, 6,458.04 and 3,002.52

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Solution

The fourth proportional to 4,681.70, 6,458.04 and 3,002.52 is: 4,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.70 : 6,458.04 = 3,002.52 : x
  2. Step 2: Convert to fraction form
    4,681.70/6,458.04 = 3,002.52/x
  3. Step 3: Cross multiply
    4,681.70x = 6,458.04 × 3,002.52
  4. Step 4: Simplify right side
    4,681.70x = 19,390,394.26
  5. Step 5: Solve for x
    x = 19,390,394.26/4,681.70
  6. Step 6: Final answer
    x = 4,141.74

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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.