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Finding the Fourth Proportional to 5,802.98, 8,004.03 and 4,035.02

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Solution

The fourth proportional to 5,802.98, 8,004.03 and 4,035.02 is: 5,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.98 : 8,004.03 = 4,035.02 : x
  2. Step 2: Convert to fraction form
    5,802.98/8,004.03 = 4,035.02/x
  3. Step 3: Cross multiply
    5,802.98x = 8,004.03 × 4,035.02
  4. Step 4: Simplify right side
    5,802.98x = 32,296,421.13
  5. Step 5: Solve for x
    x = 32,296,421.13/5,802.98
  6. Step 6: Final answer
    x = 5,565.49

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1.5x scale

Why These Related Problems?

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