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Finding the Fourth Proportional to 4,117, 5,681.48 and 3,803.07

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Solution

The fourth proportional to 4,117, 5,681.48 and 3,803.07 is: 5,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117 : 5,681.48 = 3,803.07 : x
  2. Step 2: Convert to fraction form
    4,117/5,681.48 = 3,803.07/x
  3. Step 3: Cross multiply
    4,117x = 5,681.48 × 3,803.07
  4. Step 4: Simplify right side
    4,117x = 21,607,066.14
  5. Step 5: Solve for x
    x = 21,607,066.14/4,117
  6. Step 6: Final answer
    x = 5,248.26

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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.