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Finding the Fourth Proportional to 3,549, 4,897.84 and 1,977.08

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Solution

The fourth proportional to 3,549, 4,897.84 and 1,977.08 is: 2,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549 : 4,897.84 = 1,977.08 : x
  2. Step 2: Convert to fraction form
    3,549/4,897.84 = 1,977.08/x
  3. Step 3: Cross multiply
    3,549x = 4,897.84 × 1,977.08
  4. Step 4: Simplify right side
    3,549x = 9,683,421.51
  5. Step 5: Solve for x
    x = 9,683,421.51/3,549
  6. Step 6: Final answer
    x = 2,728.49

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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.