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Finding the Fourth Proportional to 4,690.32, 7,035 and 1,403.16

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Solution

The fourth proportional to 4,690.32, 7,035 and 1,403.16 is: 2,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.32 : 7,035 = 1,403.16 : x
  2. Step 2: Convert to fraction form
    4,690.32/7,035 = 1,403.16/x
  3. Step 3: Cross multiply
    4,690.32x = 7,035 × 1,403.16
  4. Step 4: Simplify right side
    4,690.32x = 9,871,230.60
  5. Step 5: Solve for x
    x = 9,871,230.60/4,690.32
  6. Step 6: Final answer
    x = 2,104.60

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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.