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Finding the Fourth Proportional to 5,802.50, 8,695.94 and 4,235.16

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Solution

The fourth proportional to 5,802.50, 8,695.94 and 4,235.16 is: 6,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.50 : 8,695.94 = 4,235.16 : x
  2. Step 2: Convert to fraction form
    5,802.50/8,695.94 = 4,235.16/x
  3. Step 3: Cross multiply
    5,802.50x = 8,695.94 × 4,235.16
  4. Step 4: Simplify right side
    5,802.50x = 36,828,697.25
  5. Step 5: Solve for x
    x = 36,828,697.25/5,802.50
  6. Step 6: Final answer
    x = 6,347.04

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1.5x scale

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.