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Finding the Fourth Proportional to 5,763.60, 8,646.75 and 1,868.00

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Solution

The fourth proportional to 5,763.60, 8,646.75 and 1,868.00 is: 2,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.60 : 8,646.75 = 1,868.00 : x
  2. Step 2: Convert to fraction form
    5,763.60/8,646.75 = 1,868.00/x
  3. Step 3: Cross multiply
    5,763.60x = 8,646.75 × 1,868.00
  4. Step 4: Simplify right side
    5,763.60x = 16,152,085.77
  5. Step 5: Solve for x
    x = 16,152,085.77/5,763.60
  6. Step 6: Final answer
    x = 2,802.43

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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.