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Finding the Fourth Proportional to 6,501.60, 9,749.16 and 3,577.50

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Solution

The fourth proportional to 6,501.60, 9,749.16 and 3,577.50 is: 5,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.60 : 9,749.16 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    6,501.60/9,749.16 = 3,577.50/x
  3. Step 3: Cross multiply
    6,501.60x = 9,749.16 × 3,577.50
  4. Step 4: Simplify right side
    6,501.60x = 34,877,619.90
  5. Step 5: Solve for x
    x = 34,877,619.90/6,501.60
  6. Step 6: Final answer
    x = 5,364.47

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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.