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Finding the Fourth Proportional to 6,501.60, 9,752.66 and 2,119.08

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Solution

The fourth proportional to 6,501.60, 9,752.66 and 2,119.08 is: 3,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.60 : 9,752.66 = 2,119.08 : x
  2. Step 2: Convert to fraction form
    6,501.60/9,752.66 = 2,119.08/x
  3. Step 3: Cross multiply
    6,501.60x = 9,752.66 × 2,119.08
  4. Step 4: Simplify right side
    6,501.60x = 20,666,666.75
  5. Step 5: Solve for x
    x = 20,666,666.75/6,501.60
  6. Step 6: Final answer
    x = 3,178.70

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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.