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Finding the Fourth Proportional to 5,291.60, 7,931.64 and 2,210

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Solution

The fourth proportional to 5,291.60, 7,931.64 and 2,210 is: 3,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.60 : 7,931.64 = 2,210 : x
  2. Step 2: Convert to fraction form
    5,291.60/7,931.64 = 2,210/x
  3. Step 3: Cross multiply
    5,291.60x = 7,931.64 × 2,210
  4. Step 4: Simplify right side
    5,291.60x = 17,528,924.40
  5. Step 5: Solve for x
    x = 17,528,924.40/5,291.60
  6. Step 6: Final answer
    x = 3,312.59

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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.