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Finding the Fourth Proportional to 5,655.76, 8,482 and 2,368.76

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Solution

The fourth proportional to 5,655.76, 8,482 and 2,368.76 is: 3,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.76 : 8,482 = 2,368.76 : x
  2. Step 2: Convert to fraction form
    5,655.76/8,482 = 2,368.76/x
  3. Step 3: Cross multiply
    5,655.76x = 8,482 × 2,368.76
  4. Step 4: Simplify right side
    5,655.76x = 20,091,822.32
  5. Step 5: Solve for x
    x = 20,091,822.32/5,655.76
  6. Step 6: Final answer
    x = 3,552.45

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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.