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Finding the Fourth Proportional to 5,775.60, 8,657.94 and 5,262

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Solution

The fourth proportional to 5,775.60, 8,657.94 and 5,262 is: 7,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.60 : 8,657.94 = 5,262 : x
  2. Step 2: Convert to fraction form
    5,775.60/8,657.94 = 5,262/x
  3. Step 3: Cross multiply
    5,775.60x = 8,657.94 × 5,262
  4. Step 4: Simplify right side
    5,775.60x = 45,558,080.28
  5. Step 5: Solve for x
    x = 45,558,080.28/5,775.60
  6. Step 6: Final answer
    x = 7,888.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.