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Finding the Fourth Proportional to 4,702.01, 6,488.63 and 2,577.58

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Solution

The fourth proportional to 4,702.01, 6,488.63 and 2,577.58 is: 3,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.01 : 6,488.63 = 2,577.58 : x
  2. Step 2: Convert to fraction form
    4,702.01/6,488.63 = 2,577.58/x
  3. Step 3: Cross multiply
    4,702.01x = 6,488.63 × 2,577.58
  4. Step 4: Simplify right side
    4,702.01x = 16,724,953.14
  5. Step 5: Solve for x
    x = 16,724,953.14/4,702.01
  6. Step 6: Final answer
    x = 3,556.98

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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.