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Finding the Fourth Proportional to 4,577.61, 6,866.06 and 1,980.57

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Solution

The fourth proportional to 4,577.61, 6,866.06 and 1,980.57 is: 2,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.61 : 6,866.06 = 1,980.57 : x
  2. Step 2: Convert to fraction form
    4,577.61/6,866.06 = 1,980.57/x
  3. Step 3: Cross multiply
    4,577.61x = 6,866.06 × 1,980.57
  4. Step 4: Simplify right side
    4,577.61x = 13,598,702.55
  5. Step 5: Solve for x
    x = 13,598,702.55/4,577.61
  6. Step 6: Final answer
    x = 2,970.70

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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.