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Finding the Fourth Proportional to 5,482.56, 7,575.36 and 4,312.80

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Solution

The fourth proportional to 5,482.56, 7,575.36 and 4,312.80 is: 5,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.56 : 7,575.36 = 4,312.80 : x
  2. Step 2: Convert to fraction form
    5,482.56/7,575.36 = 4,312.80/x
  3. Step 3: Cross multiply
    5,482.56x = 7,575.36 × 4,312.80
  4. Step 4: Simplify right side
    5,482.56x = 32,671,012.61
  5. Step 5: Solve for x
    x = 32,671,012.61/5,482.56
  6. Step 6: Final answer
    x = 5,959.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.