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Finding the Fourth Proportional to 4,777.95, 7,159.08 and 4,595.70

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Solution

The fourth proportional to 4,777.95, 7,159.08 and 4,595.70 is: 6,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.95 : 7,159.08 = 4,595.70 : x
  2. Step 2: Convert to fraction form
    4,777.95/7,159.08 = 4,595.70/x
  3. Step 3: Cross multiply
    4,777.95x = 7,159.08 × 4,595.70
  4. Step 4: Simplify right side
    4,777.95x = 32,900,983.96
  5. Step 5: Solve for x
    x = 32,900,983.96/4,777.95
  6. Step 6: Final answer
    x = 6,886.00

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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.