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Finding the Fourth Proportional to 5,696.40, 7,859.56 and 5,300.01

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Solution

The fourth proportional to 5,696.40, 7,859.56 and 5,300.01 is: 7,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.40 : 7,859.56 = 5,300.01 : x
  2. Step 2: Convert to fraction form
    5,696.40/7,859.56 = 5,300.01/x
  3. Step 3: Cross multiply
    5,696.40x = 7,859.56 × 5,300.01
  4. Step 4: Simplify right side
    5,696.40x = 41,655,746.60
  5. Step 5: Solve for x
    x = 41,655,746.60/5,696.40
  6. Step 6: Final answer
    x = 7,312.64

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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.