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Finding the Fourth Proportional to 4,701.48, 6,488.02 and 2,605.60

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Solution

The fourth proportional to 4,701.48, 6,488.02 and 2,605.60 is: 3,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.48 : 6,488.02 = 2,605.60 : x
  2. Step 2: Convert to fraction form
    4,701.48/6,488.02 = 2,605.60/x
  3. Step 3: Cross multiply
    4,701.48x = 6,488.02 × 2,605.60
  4. Step 4: Simplify right side
    4,701.48x = 16,905,184.91
  5. Step 5: Solve for x
    x = 16,905,184.91/4,701.48
  6. Step 6: Final answer
    x = 3,595.72

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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.