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Finding the Fourth Proportional to 3,530.64, 4,870.08 and 2,830.80

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Solution

The fourth proportional to 3,530.64, 4,870.08 and 2,830.80 is: 3,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.64 : 4,870.08 = 2,830.80 : x
  2. Step 2: Convert to fraction form
    3,530.64/4,870.08 = 2,830.80/x
  3. Step 3: Cross multiply
    3,530.64x = 4,870.08 × 2,830.80
  4. Step 4: Simplify right side
    3,530.64x = 13,786,222.46
  5. Step 5: Solve for x
    x = 13,786,222.46/3,530.64
  6. Step 6: Final answer
    x = 3,904.74

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