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Finding the Fourth Proportional to 4,590.47, 6,885.55 and 1,470.66

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Solution

The fourth proportional to 4,590.47, 6,885.55 and 1,470.66 is: 2,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.47 : 6,885.55 = 1,470.66 : x
  2. Step 2: Convert to fraction form
    4,590.47/6,885.55 = 1,470.66/x
  3. Step 3: Cross multiply
    4,590.47x = 6,885.55 × 1,470.66
  4. Step 4: Simplify right side
    4,590.47x = 10,126,302.96
  5. Step 5: Solve for x
    x = 10,126,302.96/4,590.47
  6. Step 6: Final answer
    x = 2,205.94

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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.