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Finding the Fourth Proportional to 5,470.04, 8,203.86 and 1,573.60

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Solution

The fourth proportional to 5,470.04, 8,203.86 and 1,573.60 is: 2,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.04 : 8,203.86 = 1,573.60 : x
  2. Step 2: Convert to fraction form
    5,470.04/8,203.86 = 1,573.60/x
  3. Step 3: Cross multiply
    5,470.04x = 8,203.86 × 1,573.60
  4. Step 4: Simplify right side
    5,470.04x = 12,909,594.10
  5. Step 5: Solve for x
    x = 12,909,594.10/5,470.04
  6. Step 6: Final answer
    x = 2,360.05

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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.