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Finding the Fourth Proportional to 4,838.64, 7,258.08 and 1,552.08

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Solution

The fourth proportional to 4,838.64, 7,258.08 and 1,552.08 is: 2,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.64 : 7,258.08 = 1,552.08 : x
  2. Step 2: Convert to fraction form
    4,838.64/7,258.08 = 1,552.08/x
  3. Step 3: Cross multiply
    4,838.64x = 7,258.08 × 1,552.08
  4. Step 4: Simplify right side
    4,838.64x = 11,265,120.81
  5. Step 5: Solve for x
    x = 11,265,120.81/4,838.64
  6. Step 6: Final answer
    x = 2,328.16

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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.