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Finding the Fourth Proportional to 5,827.80, 8,763.30 and 4,877.40

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Solution

The fourth proportional to 5,827.80, 8,763.30 and 4,877.40 is: 7,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.80 : 8,763.30 = 4,877.40 : x
  2. Step 2: Convert to fraction form
    5,827.80/8,763.30 = 4,877.40/x
  3. Step 3: Cross multiply
    5,827.80x = 8,763.30 × 4,877.40
  4. Step 4: Simplify right side
    5,827.80x = 42,742,119.42
  5. Step 5: Solve for x
    x = 42,742,119.42/5,827.80
  6. Step 6: Final answer
    x = 7,334.18

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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.